Modification of the Finite-Element Method to Apply to Problems of the Equilibrium of Bodies Subject to Large Deformations.

The analytical expressions for the elements of the Jacobian matrix of the tensor-matrix system of FEM equations that describes the large deformations of an incompressible elastic body are derived using derivatives with respect to a tensor argument. The results are obtained for the general three-dimensional case, including the case of plane strain. The stress-strain state of a hollow square prism turned inside out is determined with a numerical method using the Jacobian matrix [ABSTRACT FROM AUTHOR]